y^2-6y-3x+7=0

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Solution for y^2-6y-3x+7=0 equation:


Simplifying
y2 + -6y + -3x + 7 = 0

Reorder the terms:
7 + -3x + -6y + y2 = 0

Solving
7 + -3x + -6y + y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -3x + -6y + -7 + y2 = 0 + -7

Reorder the terms:
7 + -7 + -3x + -6y + y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x + -6y + y2 = 0 + -7
-3x + -6y + y2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3x + -6y + y2 = -7

Add '6y' to each side of the equation.
-3x + -6y + 6y + y2 = -7 + 6y

Combine like terms: -6y + 6y = 0
-3x + 0 + y2 = -7 + 6y
-3x + y2 = -7 + 6y

Add '-1y2' to each side of the equation.
-3x + y2 + -1y2 = -7 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
-3x + 0 = -7 + 6y + -1y2
-3x = -7 + 6y + -1y2

Divide each side by '-3'.
x = 2.333333333 + -2y + 0.3333333333y2

Simplifying
x = 2.333333333 + -2y + 0.3333333333y2

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